Finding the Third Proportional to 85,858 and 179,554

Step by Step Solution

1. Step 1: Write the proportion equation
   85,858 : 179,554 = 179,554 : x
2. Step 2: Convert to fraction form
   85,858/179,554 = 179,554/x
3. Step 3: Cross multiply
   85,858x = 179,554 × 179,554
4. Step 4: Simplify right side
   85,858x = 32,239,638,916
5. Step 5: Solve for x
   x = 32,239,638,916/85,858
6. Step 6: Final answer
   x = 375,499.53